Mathematics · Primary 1

Active learning ideas

Measuring Length with Non-Standard Units

Active learning through hands-on measurement builds strong spatial reasoning for young learners. Students connect abstract ideas like ‘longer’ and ‘shorter’ to real objects they can see and touch, making early math concepts meaningful and memorable.

• MOE Syllabus Outcomes
• MOE: M(i).3
• MOE: M(i).4

• 20–40 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Experiential Learning
• 25 min · Pairs

Partner Clip Chain: Desk Edges

Pairs select a desk edge and measure it end-to-end with paper clips, ensuring no gaps. One partner lays clips while the other counts aloud and records the number. They switch roles, discuss matches or differences, and try a second object.

How do we measure the length of an object using small objects as units?

Facilitation Tip

During Partner Clip Chain, model how to align paper clips end-to-end without gaps or overlaps before partners begin.

What to look for

Provide students with a pencil and a set of linking cubes. Ask them to measure the pencil using the cubes and record the number of cubes. Then, ask: 'Is your pencil longer or shorter than 10 cubes?'

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 02

• Experiential Learning
• 35 min · Small Groups

Group Cube Crawl: Book Lengths

Small groups line linking cubes along different books without overlaps. Each member measures one book, records the cube count, and reports to the group. Groups compare results across books to order by length.

Why must all the units be the same size when we measure?

Facilitation Tip

For Group Cube Crawl, assign clear starting and ending points on each book to ensure consistent measurements.

What to look for

Place two objects of different lengths on a table, along with a collection of paper clips. Ask students: 'How can we use the paper clips to find out which object is longer? What do we need to be careful about when we place the paper clips?'

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 03

• Experiential Learning
• 40 min · Whole Class

Class Hand Span Hunt: Hallway Tiles

Whole class measures set hallway distances using personal hand spans, recording individual counts on a shared chart. Teacher facilitates discussion on varying results. Students remeasure with a class-agreed unit like foot lengths.

Why might two people get different measurements for the same object?

Facilitation Tip

In Class Hand Span Hunt, demonstrate how to mark hand spans with masking tape so students see repeatable units.

What to look for

Give each student a drawing of a toy car. Ask them to choose one non-standard unit (e.g., buttons, erasers) and draw it multiple times underneath the car to show its length. They should then write the number of units they used.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 04

• Experiential Learning
• 20 min · Individual

Individual Span Sort: Personal Items

Students measure five personal items like pencils or erasers with their hand spans, recording counts. They sort items from shortest to longest spans and share one surprising result with a partner.

How do we measure the length of an object using small objects as units?

Facilitation Tip

For Individual Span Sort, provide a variety of small items to measure so students practice choosing an appropriate unit.

What to look for

Provide students with a pencil and a set of linking cubes. Ask them to measure the pencil using the cubes and record the number of cubes. Then, ask: 'Is your pencil longer or shorter than 10 cubes?'

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

A few notes on teaching this unit

Teach this topic by letting students experience measurement firsthand, then guiding them to reflect on why their results match or differ. Avoid giving answers too soon; instead, ask questions that lead students to notice patterns. Research shows young learners grasp measurement best when they compare, count, and discuss units in collaborative settings.

By the end of these activities, students confidently measure objects using uniform non-standard units, explain why unit size matters, and recognize that personal units produce varied results. They also discuss fairness in measurement and compare lengths accurately.

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Watch Out for These Misconceptions

• During Partner Clip Chain, watch for students mixing cube sizes within the same measurement chain.

  Have partners pause and compare their units side-by-side, then replace any mismatched cubes with identical ones to see how the final count changes.

• During Group Cube Crawl, listen for students saying a book got shorter when they used fewer cubes.

  Ask them to measure the same book again using the same cubes to confirm the length stays fixed, focusing attention on unit size rather than the count.

• During Class Hand Span Hunt, notice students believing a larger hand span gives a more accurate measurement.

  Have pairs compare their hand spans on identical ropes, then choose one standard unit like erasers to measure again, showing both are valid if consistent.

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Methods used in this brief

• Experiential Learning